Use the table to answer the question.
Original Poster Scale Drawing
left edge (in.) 36 ?
top edge (in.) 24 8
A local food organization puts out a healthy foods poster. The poster is in the shape of a rectangle, and its dimensions are given in the table. Alfredo wants to make a smaller version of the poster to hang up in the community center. He makes a scale drawing of the poster with the length of the top edge given in the table. What is the area of Alfredo’s scale drawing?
Alfredo's scale drawing has a length of 8 inches for the top edge. Since the scale is the same for the length and width, the scale drawing's length and width are proportional to the original poster's length and width.
To find the scale factor, we can divide the length of the scale drawing by the original length of the poster:
Scale factor = 8/24 = 1/3
Therefore, the scale drawing is 1/3 of the size of the original poster.
To find the area of the scale drawing, we need to find the length and width of the scale drawing using the scale factor.
Length of scale drawing = 1/3 * 36 = 12 inches
Width of scale drawing = 1/3 * 24 = 8 inches
The area of the scale drawing is then length * width:
Area = 12 * 8 = 96 square inches.
Therefore, the area of Alfredo's scale drawing is 96 square inches.